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Finding the Third Proportional to 48,573 and 105,210

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Solution

The third proportional to 48,573 and 105,210 is: 227,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,573 : 105,210 = 105,210 : x
  2. Step 2: Convert to fraction form
    48,573/105,210 = 105,210/x
  3. Step 3: Cross multiply
    48,573x = 105,210 × 105,210
  4. Step 4: Simplify right side
    48,573x = 11,069,144,100
  5. Step 5: Solve for x
    x = 11,069,144,100/48,573
  6. Step 6: Final answer
    x = 227,886.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.